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Finding the Fourth Proportional to 3,396.80, 5,097.52 and 1,449.52

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Solution

The fourth proportional to 3,396.80, 5,097.52 and 1,449.52 is: 2,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.80 : 5,097.52 = 1,449.52 : x
  2. Step 2: Convert to fraction form
    3,396.80/5,097.52 = 1,449.52/x
  3. Step 3: Cross multiply
    3,396.80x = 5,097.52 × 1,449.52
  4. Step 4: Simplify right side
    3,396.80x = 7,388,957.19
  5. Step 5: Solve for x
    x = 7,388,957.19/3,396.80
  6. Step 6: Final answer
    x = 2,175.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.